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Finding the Third Proportional to 128,957 and 280,052

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Solution

The third proportional to 128,957 and 280,052 is: 608,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,957 : 280,052 = 280,052 : x
  2. Step 2: Convert to fraction form
    128,957/280,052 = 280,052/x
  3. Step 3: Cross multiply
    128,957x = 280,052 × 280,052
  4. Step 4: Simplify right side
    128,957x = 78,429,122,704
  5. Step 5: Solve for x
    x = 78,429,122,704/128,957
  6. Step 6: Final answer
    x = 608,180.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.